Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation

DOI10.1016/j.na.2009.10.040zbMath1189.35098OpenAlexW2135811379MaRDI QIDQ844981

N. E. Zubov

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/12443/1/2010expanding-04.pdf

zbMATH Keywords

asymptotic behaviorupper and lower solutionssemilinear elliptic equationlarge solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Semilinear elliptic equations (35J61)

Related Items (13)

Asymptotic behavior of boundary blow-up solutions to elliptic equations ⋮ The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: The power like case ⋮ Second order expansion for blowup solutions of semilinear elliptic problems ⋮ Second order estimates for large solutions of elliptic equations ⋮ A second-order estimate for blow-up solutions of elliptic equations ⋮ Large solutions of elliptic semilinear equations non-degenerate near the boundary ⋮ Asymptotic behavior of large radial solutions of a polyharmonic equation with superlinear growth ⋮ Keller-Osserman type conditions for some elliptic problems with gradient terms ⋮ The second expansion of large solutions for semilinear elliptic equations ⋮ Boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms ⋮ The exact blow-up rates of large solutions for semilinear elliptic equations ⋮ Explosive solutions of elliptic equation with singular weight ⋮ Large solutions of elliptic semilinear equations in the borderline case. an exhaustive and intrinsic point of view

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superprocesses and partial differential equations
• On the inequality \(\Delta u \geqq f (u)\)
• Asymptotic behavior of solutions of boundary blow-up problems
• Quasilinear elliptic equations with boundary blow-up
• On solutions of δu=f(u)
• Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary
• Superdiffusions and removable singularities for quasilinear partial differential equations
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• The influence of domain geometry in boundary blow-up elliptic problems.

This page was built for publication: Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation